document.write( "Question 1012847: Find the probability of neither a 5 or spade from a deck of cards \n" ); document.write( "
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\n" ); document.write( "Question:
\n" ); document.write( "Find the probability of neither a 5 or spade from a deck of cards
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\n" ); document.write( "Solution:
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\n" ); document.write( "A standard deck of cards has 52 cards.
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\n" ); document.write( "We will first find the number of cards that are either a 5 or a spade:
\n" ); document.write( "There are 4 5's (one for each suit) and 13 spades.
\n" ); document.write( "However, the 5 of spades has been counted two times, so the number of cards that are either 5 or a spade equals 4+13-1=16.
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\n" ); document.write( "There are then 52-16=36 cards that are neither 5 nor spades.
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\n" ); document.write( "The probability of drawing neither a 5 nor a spade from a standard deck is therefore
\n" ); document.write( "P(~5∧~spade)=36/52=9/13
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